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Finding the Third Proportional to 15,664 and 36,892

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Solution

The third proportional to 15,664 and 36,892 is: 86,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664 : 36,892 = 36,892 : x
  2. Step 2: Convert to fraction form
    15,664/36,892 = 36,892/x
  3. Step 3: Cross multiply
    15,664x = 36,892 × 36,892
  4. Step 4: Simplify right side
    15,664x = 1,361,019,664
  5. Step 5: Solve for x
    x = 1,361,019,664/15,664
  6. Step 6: Final answer
    x = 86,888.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.